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Finding the Fourth Proportional to 1,757.71, 2,424.87 and 1,159.43

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Solution

The fourth proportional to 1,757.71, 2,424.87 and 1,159.43 is: 1,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.71 : 2,424.87 = 1,159.43 : x
  2. Step 2: Convert to fraction form
    1,757.71/2,424.87 = 1,159.43/x
  3. Step 3: Cross multiply
    1,757.71x = 2,424.87 × 1,159.43
  4. Step 4: Simplify right side
    1,757.71x = 2,811,473.09
  5. Step 5: Solve for x
    x = 2,811,473.09/1,757.71
  6. Step 6: Final answer
    x = 1,599.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.